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Finding the Third Proportional to 393,140 and 842,368

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Solution

The third proportional to 393,140 and 842,368 is: 1,804,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,140 : 842,368 = 842,368 : x
  2. Step 2: Convert to fraction form
    393,140/842,368 = 842,368/x
  3. Step 3: Cross multiply
    393,140x = 842,368 × 842,368
  4. Step 4: Simplify right side
    393,140x = 709,583,847,424
  5. Step 5: Solve for x
    x = 709,583,847,424/393,140
  6. Step 6: Final answer
    x = 1,804,913.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.